Algebra I Semester One Curriculum Map Approx Timeline Concepts Introduced Chapters Holt Algebra Standards 4 - 5weeks Review concepts: • Integers • Order of Operations • Simplifying Algebraic Expressions • Solving Multi-Step Equations • Roots & exponents Graphing and Solving Inequalities in one variable 1&2 3 weeks Systems of linear equations and Inequalities 3&4 5 6 2.0- Opposite, Reciprocals, Taking a root. 4.0 – Combine like terms 3.0 Solving equations with absolute value. 5.0 – Solving multi-step problems, including word problems 5.0 Solving linear inequalities in one variable. 6. 0 – Graphing linear equations/inequalities & compute the intercepts. 7.0 – Verify that a point is on line. 8.0 – Parallel & perpendicular lines. 9. 0 – Solving systems of linear equations/inequalities. (graphically & algebraically) Integers reviewed by way of order of operations Omit Lesson 4-5 (Arithmetic Sequences) Omit Lesson 5-4 (Direct Variation) When solving multi-step equations, the check is review of order of operations Solve as an equation and use a checking point to understand inequalities *Graphing linear equations and inequalities included in unit assessments throughout semester one and two If time permits introduce the vocabulary for Lesson 6-4 (Special Systems) when solving equations with fractions *Order of operations done in context since the concept begun in 6th grade • • • • • Weeks in the Months 4 weeks Linear Functions Lesson Notes Use of fraction busters Resources & Ideas 4 – 5 weeks Marcy Cook Number Tiles Matching Puzzles Human Number Line Equations Jeopardy (Powerpoint) Concentration September has 4 weeks Functions & Relations 16.0 Intro to relations and functions Use inductive reasoning (patterns) in understanding inequalities Introduce function vocabulary and revisit throughout the year. Such as, domain, range, independent/ dependent variables. • • • • • Inequality Jeopardy Matching Activities Matching Puzzles Nursery Rhyme stories Concentration October has 4 weeks Linear Functions Jeopardy available Scatter plot Project: Real estate/college fees used to bring life and real world application to the line • • • Battleship “Linear Equations” Matching Puzzles Concentration November has 4 weeks * Key Standards comprise a minimum of 70% of the state test. (They should be reviewed regularly.) ** Mathematical Reasoning and Problem Solving is embedded within all concepts 15.0 Percent mixture problems *Continue to include linear equations and inequalities: warm-ups/ classwork/assessments throughout semester one and two Systems of Linear Equations Project: A company selling two items • • Systems Book Systems of Linear Equations Project: A company selling Two items December has 3 weeks January has 2 weeks Algebra I Semester Two Curriculum Map 3 weeks Approx Timeline 3 – 4 weeks 4 weeks 4 weeks 1 week Exponents & Polynomials Factoring Polynomials Solving Quadratic Equations (Include Graphing) Rational Expressions & Equations Radicals 7 8 9 10 11-1 to 11-5 2.0 – Rules of Exponents 11.0 – Basic factoring techniques. 14.0 – Solve quadratic equations by factoring & completing the square. 19. 0 & 20.0 – Students know and use the quadratic formula. 21. 0 – Graphing quadratic functions. Knowing roots. 23.0- Applying quadratic equations. 13. 0 – Applying basic operations to rational expressions. Solving rational equations. 12.0 – Simplify rational expressions by factoring. 15.0 --Work and Rate problems. 2.0 – Taking a root. *Continue to include linear equations and inequalities: warmups/ classwork/ assessments throughout semester two Radicals for perfect squares and use of estimation/calculator for non perfect squares Expose students to Lessons 10-1 (Inverse Variations) & 10-2 (Rational Functions), if time permits Omit 11-6 to 11-9 (Exponential Functions), expose if time permits Concepts Introduced Chapters Holt Algebra Standards 10.0 – Operations with polynomials Expose students to Lesson 7-5 (Fractional Exponents), if time permits Lesson Notes Rules of exponents: Multiply, divide, power of a power, negative exponents, zero power Include scientific notation in application format which review all the exponent rules Use of “diamond” problems for factoring Review Pythagorean theorem as an application of Quadratics (page 587 problem #58) Fraction busters with binomials… Rational Expressions & Equations Jeopardy Use of area models to multiply polynomials Resources & Ideas • • • • • Weeks in the Months 7-2 Challenge (Holt Resource Book) Exponent War (Holt Resource Book) Matching Puzzles Exponent Number Tiles Concentration February has 4 weeks • • • • • “X” marks the spot Factoring Matching Puzzles Trinomial Number Tiles “Don’t be FOILed” factoring activity Concentration March has 4 weeks • • • Quadratic Formula Song “What goes up must come down” worksheet Concentration (Vertex Point) April has 2 weeks • • • Matching Puzzles for Rational Expressions 3 different levels of review worksheets Concentration May has 3 weeks Factor trees: help with square & cube roots Radicals: polynomials & equations included Pythagorean theorem is incorporated in the word problems as an application of Radicals • • Matching Puzzle for Radical Equations Concentration June has 2 weeks